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| Format: | Preprint |
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2023
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| Online-Zugang: | https://arxiv.org/abs/2308.15071 |
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| _version_ | 1866911749737807872 |
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| author | Sugama, Sho Yasuda, Osamu |
| author_facet | Sugama, Sho Yasuda, Osamu |
| contents | The three kinds of parameter degeneracy in neutrino oscillation, the intrinsic, sign and octant degeneracy, form an eight-fold degeneracy. The nature of this eight-fold degeneracy can be visualized on the ($\sin^22θ_{13}$, $1/\sin^2θ_{23}$)-plane, through quadratic curves defined by $P(ν_μ\toν_e)=$ const. and $P(\barν_μ\to\barν_e)=$ const., along with a straight line $P(ν_μ\toν_μ)=$ const. After $θ_{13}$ was determined by reactor neutrino experiments, the intrinsic degeneracy in $θ_{13}$ transforms into an alternative octant degeneracy in $θ_{23}$, which can potentially be resolved by incorporating the value of $P(ν_μ\toν_μ)$. In this paper, we analytically discuss whether this octant parameter degeneracy is resolved or persists in the future long baseline accelerator neutrino experiments, such as T2HK, DUNE, T2HKK and ESS$ν$SB. It is found that the energy spectra near the first oscillation maximum are effective in resolving the octant degeneracy, whereas those near the second oscillation maximum are not. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2308_15071 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Octant Degeneracy and Plots of Parameter Degeneracy in Neutrino Oscillations Revisited Sugama, Sho Yasuda, Osamu High Energy Physics - Phenomenology The three kinds of parameter degeneracy in neutrino oscillation, the intrinsic, sign and octant degeneracy, form an eight-fold degeneracy. The nature of this eight-fold degeneracy can be visualized on the ($\sin^22θ_{13}$, $1/\sin^2θ_{23}$)-plane, through quadratic curves defined by $P(ν_μ\toν_e)=$ const. and $P(\barν_μ\to\barν_e)=$ const., along with a straight line $P(ν_μ\toν_μ)=$ const. After $θ_{13}$ was determined by reactor neutrino experiments, the intrinsic degeneracy in $θ_{13}$ transforms into an alternative octant degeneracy in $θ_{23}$, which can potentially be resolved by incorporating the value of $P(ν_μ\toν_μ)$. In this paper, we analytically discuss whether this octant parameter degeneracy is resolved or persists in the future long baseline accelerator neutrino experiments, such as T2HK, DUNE, T2HKK and ESS$ν$SB. It is found that the energy spectra near the first oscillation maximum are effective in resolving the octant degeneracy, whereas those near the second oscillation maximum are not. |
| title | Octant Degeneracy and Plots of Parameter Degeneracy in Neutrino Oscillations Revisited |
| topic | High Energy Physics - Phenomenology |
| url | https://arxiv.org/abs/2308.15071 |